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Staff Selection Commission Combined Graduate Level Exam

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Question : Simplify the following.
$\frac{0.01 \times 0.01 \times 0.01+0.003 \times 0.003 \times 0.003}{0.05 \times 0.05 – 0.015 \times 0.05 + 0.015 \times 0.015}$

Option 1: $\frac{13}{25} \times 10^3$

Option 2: $\frac{13}{15} \times 10^{–3}$

Option 3: $\frac{13}{15} \times 10^3$

Option 4: $\frac{13}{25} \times 10^{–3}$

Team Careers360 15th Jan, 2024

Correct Answer: $\frac{13}{25} \times 10^{–3}$


Solution : Given: $\frac{0.01 \times 0.01 \times 0.01+0.003 \times 0.003 \times 0.003}{0.05 \times 0.05–0.015 \times 0.05 + 0.015 \times 0.015}$
Converting it into the form, $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$.
= $\frac{(0.01 + 0.003)((0.01)^2 – 0.01\times0.003 + (0.003)^2)}{25\times((0.01)^2 –

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Question : Select the most appropriate meaning of the underlined idiom.

Do not beat about the bush when you have anything to say.

Option 1: To try to influence.

Option 2: To shift blame on others.

Option 3: To argue.

Option 4: To avoid giving a definite answer or position.

Team Careers360 24th Jan, 2024

Correct Answer: To avoid giving a definite answer or position.


Solution : The correct choice is the fourth option.

Beating about the bush means to speak evasively, indirectly, or vaguely, often to avoid addressing a topic directly. The idiom implies that one should be concise and to the point

10 Views

Question :

What happens to a person who receives the wrong type of blood?
 

Option 1:

All the arteries constrict

Option 2:

All the arteries dialates

Option 3:

The RBCs agglutinate

 

Option 4: The spleen and lymphnodes deteriorate

Team Careers360 13th Jan, 2024

Correct Answer:

The RBCs agglutinate

 


Solution : The correct option is The RBCs agglutinate

If a person gets blood with antigens recognised by their immune system as foreign, their antibodies may react with the donor's red blood cells (RBCs). This can result in agglutination, or the clumping of RBCs. Agglutinated

16 Views

Question : The orthocentre of an obtuse-angled triangle lies:

Option 1: Inside the triangle

Option 2: Outside the triangle

Option 3: On one side of a triangle

Option 4: None of these

Team Careers360 16th Jan, 2024

Correct Answer: Outside the triangle


Solution :
The orthocentre of an obtuse-angled triangle lies outside the triangle.
Hence, the correct answer is 'Outside the triangle'.

10 Views

Question : The chemical that is used to ripen mangoes is

Option 1: calcium sulphide

Option 2: calcium carbide

Option 3: calcium carbonate

Option 4: calcium chloride

Team Careers360 23rd Jan, 2024

Correct Answer: calcium carbide


Solution : The correct option is Calcium carbide.

Calcium carbide is a chemical that has traditionally been used to artificially ripen fruits such as mangoes. When calcium carbide comes into contact with moisture, it emits Acetylene gas, which can hasten fruit ripening. However, due to

106 Views

Question : Three numbers are in the ratio $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$. If the difference between the greatest number and the smallest number is 33, then the HCF of the three numbers is:

Option 1: 9

Option 2: 5

Option 3: 13

Option 4: 11

Team Careers360 19th Jan, 2024

Correct Answer: 11


Solution : Let the three numbers as $x$, $y$, and $z$. Given that the numbers are in the ratio $⇒\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$.
$x : y : z = \frac{1}{2} : \frac{2}{3} : \frac{3}{4}$
Multiply all the ratios by the least common multiple (LCM) of 2,

20 Views

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

Ramu (never) makes at least a century each time he plays cricket.

(1) seldom

(2) forever

(3) always

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 20th Jan, 2024

Correct Answer: (3)


Solution : The sentence can be improved using the third option.

"Always" is the most suitable option to convey the idea that Ramu consistently achieves at least a century each time he plays cricket. "Always" means all the time or consistently, which aligns with the meaning intended

24 Views

Question : P and Q together can complete a piece of work in 6 days. If P can alone complete the work in 18 days, the number of days required for Q to finish the work is:

Option 1: 10 days

Option 2: 8 days

Option 3: 11 days

Option 4: 9 days

Team Careers360 23rd Jan, 2024

Correct Answer: 9 days


Solution : P and Q together can complete a task in 6 days.
P can alone complete the work in 18 days.
Work done by P in 1 day = $ \frac{1}{18}$
$\therefore$ Work done by Q in 1 day = $\frac{1}{6} – \frac{1}{18}= \frac{3 –

18 Views

Question : The minimum age limit for the membership of the Vidhan Parishad as of 2017 is ___________.

Option 1:

21 years

Option 2:

25 years

Option 3:

30 years

Option 4: 35 years

Team Careers360 22nd Jan, 2024

Correct Answer:

30 years


Solution : The correct option is 30 years.

The minimum age requirement for membership in the Vidhan Parishadas of 2017 is 30 years. This is outlined in Article 173 of the Constitution of India. Following the bicameral state legislature, six states have Vidhan Parishad: Uttar Pradesh,

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